Home / 537.56-827.06

Finding the Third Proportional to 537.56 and 827.06

Calculator

Solution

The third proportional to 537.56 and 827.06 is: 1,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.56 : 827.06 = 827.06 : x
  2. Step 2: Convert to fraction form
    537.56/827.06 = 827.06/x
  3. Step 3: Cross multiply
    537.56x = 827.06 × 827.06
  4. Step 4: Simplify right side
    537.56x = 684,032.38
  5. Step 5: Solve for x
    x = 684,032.38/537.56
  6. Step 6: Final answer
    x = 1,272.47

Related Problems

Find third proportional to 268.78 and 413.53
Half scale
Find third proportional to 1,075.13 and 1,654.13
Double scale
Find third proportional to 540 and 830
Similar ratio
Find third proportional to 806.34 and 1,240.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.